Problem-solving is a key aspect of mathematics instruction. Although it is part of several national curricula, its implementation is still being vastly explored. The present research, which is part of a larger project, aimed to investigate the effect of using problem-oriented instruction in grade 3 of primary school on students' mathematical…

Grounded in problem-based learning and with respect to four mathematics domains (arithmetic, random events and counting, number theory, and geometry), we designed a series of programming-based learning tasks for middle school students to co-develop computational thinking (CT) and corresponding mathematical thinking. Various CT concepts and…

This paper describes a study for teaching number system in a computer arithmetic course and addresses the existing gap in the current course by focusing on the characteristics of applications. A redundant residue number system (RRNS) is an efficient and innovative number system that inherits the interesting properties of both residue number system…

Ethnomatemics-based mathematics concept implementation can be carried out through constructivism-based learning such as realistic mathematics, problem-based and learning with a scientific approach. This research purpose to explore the form of ethnomatemics on the woven cabbage leaves of the Tutuwaru community and analyze the process of…

In this study, it is aimed to reveal students' attitudes and views on a micro-lesson design application in accordance with the DDD-E model in which the Problem Based Learning (PBL) approach is integrated. In the study, a micro-level instructional design that addressed the outcomes of the subject "Four Arithmetic Operations in Decimals"…

The North Carolina Standard Course of Study 2003 mathematics standards call for third-grade students to develop fluency in solving problems that involve multiplication and division. Released test items from the statewide standards-based assessment include multiplication and division tasks that require students to read the problem, identify the…

Two developments have contributed to the convergence of views about the benefits of real-life and inquiry-based pedagogies in mathematics learning. First, the mathematics teaching community is increasingly focused on the learning of mathematics that involves the transfer of prior knowledge to novel problem-solving situations, a key element in…

This study examines the communication between pre-service teachers and sixth grade students in a project in which email was used for communication as students learned about fractions and were supported by the pre-service teachers. Specifically, the study investigated how the pre-service teachers applied their mathematical knowledge to understand…

Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…

To prepare to teach in mathematics classrooms where children learn to justify their thinking, the teachers themselves must have experienced an environment of inquiry, communication, collaboration, and reasoning. Teacher educators strive to establish such environments for preservice teachers (PSTs) and to support their transition from rules-based…

In this paper four programs are described in which children learn multidigit number concepts and operations with understanding: (1) the Supporting Ten-Structured Thinking projects, (2) the Conceptually Based Instruction project, (3) Cognitively Guided Instruction projects, and (4) the Problem Centered Mathematics Project. The diversity in these…

This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five…

Analyzes one third grader's participation in mathematics class discussions, his beliefs about class discussion, and his arithmetical development throughout a school year in a problem-centered learning classroom. Concludes that a fruitful classroom discussion both necessitates and, conversely, is facilitated by the negotiation of social norms and…

Described is a study of second grade classes that participated in a year-long project in which instruction was generally compatible with a socioconstructivist theory of knowledge and recent recommendations of the National Council of Teachers of Mathematics. Methods, results, and implications for mathematics instruction are discussed. (CW)

Compared project (n=79) and nonproject (n=111) third-grade students on their conceptual development in arithmetic, their personal goals in mathematics, and their beliefs about reasons for success in mathematics. Project students attained more advanced levels of conceptual understanding and held stronger beliefs about the importance of working…